关于实反对称矩阵对角化问题的讨论

On the Diagonalization of Real Anti-Symmetric Matrix

文章首先给出了实反对称矩阵特征值和特征多项式的一些性质,然后证明了任何复数域上的矩阵都酉相似于上三角矩阵,最后利用此结论以及正规矩阵,证明了实反对称矩阵相似于对角矩阵.

The paper gives some property of character value and character polynomial for anti-symmetric matrix, proves all matrix can be diagonalized by unitary matrix,and gives the proof of diagonalization for real anti-symmetric matrix via unitary matrix.